Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory

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The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields. In this case we propose that the actual-valued observables are the Casimir operators of the Poincaré group and of the group U(1)...

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Autores principales: Ardenghi, J.S., Castagnino, M., Lombardi, O.
Formato: JOUR
Materias:
Actualization
Casimir
Hamiltonian
Interpretation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00207748_v50_n3_p774_Ardenghi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00207748_v50_n3_p774_Ardenghi
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spelling todo:paper_00207748_v50_n3_p774_Ardenghi2023-10-03T14:20:29Z Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory Ardenghi, J.S. Castagnino, M. Lombardi, O. Actualization Casimir Hamiltonian Interpretation The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields. In this case we propose that the actual-valued observables are the Casimir operators of the Poincaré group and of the group U(1) of the internal symmetry of the theory. Moreover, we also show that the magnitudes that acquire actual values in the relativistic and in the non-relativistic cases are correctly related through the adequate limit. © 2010 Springer Science+Business Media, LLC. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00207748_v50_n3_p774_Ardenghi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Actualization
Casimir
Hamiltonian
Interpretation
spellingShingle Actualization
Casimir
Hamiltonian
Interpretation
Ardenghi, J.S.
Castagnino, M.
Lombardi, O.
Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory
topic_facet Actualization
Casimir
Hamiltonian
Interpretation
description The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields. In this case we propose that the actual-valued observables are the Casimir operators of the Poincaré group and of the group U(1) of the internal symmetry of the theory. Moreover, we also show that the magnitudes that acquire actual values in the relativistic and in the non-relativistic cases are correctly related through the adequate limit. © 2010 Springer Science+Business Media, LLC.
format JOUR
author Ardenghi, J.S.
Castagnino, M.
Lombardi, O.
author_facet Ardenghi, J.S.
Castagnino, M.
Lombardi, O.
author_sort Ardenghi, J.S.
title Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory
title_short Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory
title_full Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory
title_fullStr Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory
title_full_unstemmed Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory
title_sort modal-hamiltonian interpretation of quantum mechanics and casimir operators: the road toward quantum field theory
url http://hdl.handle.net/20.500.12110/paper_00207748_v50_n3_p774_Ardenghi
work_keys_str_mv AT ardenghijs modalhamiltonianinterpretationofquantummechanicsandcasimiroperatorstheroadtowardquantumfieldtheory
AT castagninom modalhamiltonianinterpretationofquantummechanicsandcasimiroperatorstheroadtowardquantumfieldtheory
AT lombardio modalhamiltonianinterpretationofquantummechanicsandcasimiroperatorstheroadtowardquantumfieldtheory
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